(2) Which of the following numbers is rational?
(A) \( \pi \)
(B) \( \sqrt{2} \)
(C) \( 4.567 \ldots \)
(D) 23

Answer

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Answer

23 can be expressed as \(\frac{23}{1}\), which is a rational number

Steps

Step 1 ：Check if the number can be expressed as a fraction \(\frac{a}{b}\) where a and b are integers and b ≠ 0:

Step 2 ：\(\pi\) and \(\sqrt{2}\) are known to be irrational numbers

Step 3 ：\( 4.567 \ldots \) indicates a non-terminating decimal

Step 4 ：23 can be expressed as \(\frac{23}{1}\), which is a rational number